QuestionSolve for $x$ in the equation $6x - 9 = 45$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $6x -9 =45$ . We are allowed to use the addition property of equality, subtraction property of equality, and multiplication property of equality to solve the equation3. The goal is to solve for the variable $x$

STEP 2

We start by using the addition property of equality to get rid of the $-9$ on the left side of the equation. This property states that if $a = b$ , then $a + c = b + c$ for any real numbers $a$ , $b$ , and $c$ .So, we add $9$ to both sides of the equation $6x -9 +9 =45 +9$

STEP 3

implify both sides of the equation $6x =54$

STEP 4

Now, we use the multiplication property of equality to isolate $x$ . This property states that if $a = b$ , then $ac = bc$ for any real numbers $a$ , $b$ , and $c$ .In this case, we divide both sides of the equation by $6$ $\frac{6x}{6} = \frac{54}{6}$

STEP 5

implify both sides of the equation $x =9$ So, the solution to the equation $x -9 =45$ is $x =9$ .

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